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QJEEAdv02Ma269c: JEE Advanced 2002 Mathematics - Class 11 JEEAdv02Ma269c Solution: Let be fixed angle. If and then is obtained from by

Let 0 < \alpha < {\pi \over 2} be fixed angle. If P=(cos⁡θ, sin⁡θ)P = \left( {\cos \theta ,\,\sin \theta } \right) and Q=(cos⁡(α−θ), sin⁡(α−θ)),Q = \left( {\cos \left( {\alpha - \theta } \right),\,\sin \left( {\alpha - \theta } \right)} \right), then QQ is obtained from PP by

Multiple Choice Options

  • A clockwise rotation around origin through an angle α\alpha
  • B anticlockwise rotation around origin through an angle α\alpha
  • C reflection in the line through origin with slope tan α\alpha
  • D reflection in the line through origin with slope tan (α/2)\left( {\alpha /2} \right)

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